Time delay estimation of non-Gaussian signal in unknown Gaussian noises using third-order cumulants

For correlated Gaussian noises, a generalised cross correlation (GCC) type of processing and a parametric method is applied to one slice of the third-order cumulants to estimate time delay, with better performance than SCOT, the conventional bispectrum method (CBM) and the parametric bispectrum method (PBM). For uncorrelated Gaussian noises, HOS-SCOT using multiple slices of cumulants also outperforms SCOT, CBM and PBM. Simulation examples are given